If A - B- C - 2 - 3 - 4- then AB -BC - CA is equal to

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Theorem of Internal and External Division of Chords

If A : B: C...

Question

If $A : B : C = 2 : 3 : 4$ , then $\frac{A}{B} : \frac{B}{C} : \frac{C}{A}$ is equal to

4 : 9 : 16

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8 : 9 : 12

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8 : 9 : 16

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8 : 9 : 24

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Solution

The correct option is D $8 : 9 : 24$
$A : B : C = 2 : 3 : 4$
$A / B : B / C : C / A$
$L e t A = 2 x, B = 3 x a n d C = 4 x$
$T h e n,$
$ AB=2x3x=23$
$BC=3x4x=34$
$CA=4x2x=21$
$A/B : B/C : C/A=2/3:3/4:2/1=8:9:24$

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Similar questions

Q. If

A : B : C = 2 : 3 : 4,

then what is

\frac{A}{B} : \frac{B}{C} : \frac{C}{A}

equal to?

Q. Mark whether true or false.
(a) 8 (7 + 3) = 8 × 7 + 8 × 3 ____
(b) 12 (16 + 4) = 12 × 16 + 12 × 4 ____
(c) 14 (5 + 2) = 14 × 5 + 14 × 2 ____
(d) 9 (8 − 3) = 9 × 8 − 9 × 3 ____

Q. 2, 3, 4, 4, 6, 8, 9, 12, 16

source $(i) \frac{8}{9} + \frac{- 11}{6} (i i) 3 + \frac{5}{- 7} (i i i) \frac{1}{- 12} a n d \frac{2}{- 15} (i v) \frac{- 8}{19} + \frac{- 4}{57} (v) \frac{7}{9} + \frac{3}{- 4} (v i) \frac{5}{26} + \frac{11}{- 39} (v i i) \frac{- 16}{9} + \frac{- 5}{12} (v i i i) \frac{- 13}{8} + \frac{5}{36} (i x) 0 + \frac{- 3}{5} (x) 1 + \frac{- 4}{5} (x i) \frac{- 5}{16} + \frac{7}{24}$

Q. Find the mode for the following frequency distribution.

Class	$4 - 8$	$8 - 12$	$12 - 16$	$16 - 20$	$20 - 24$	$24 - 28$
Frequency	$9$	$6$	$12$	$7$	$15$	$3$

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If A:B:C=2:3:4, then AB:BC:CA is equal to

The correct option is D 8:9:24A:B:C=2:3:4A/B:B/C:C/ALetA=2x,B=3x and C=4xThen,$ AB=2x3x=23$AB=2x 3x=23$$$BC=3x4x=34$BC=3x4x=34$CA=4x2x=21$CA=4x2x=21$A/B : B/C : C/A=2/3:3/4:2/1=8:9:24$

If $A : B : C = 2 : 3 : 4$ , then $\frac{A}{B} : \frac{B}{C} : \frac{C}{A}$ is equal to

The correct option is D $8 : 9 : 24$
$A : B : C = 2 : 3 : 4$
$A / B : B / C : C / A$
$L e t A = 2 x, B = 3 x a n d C = 4 x$
$T h e n,$
$ AB=2x3x=23$
$BC=3x4x=34$
$CA=4x2x=21$
$A/B : B/C : C/A=2/3:3/4:2/1=8:9:24$